Matematičeskie zametki, Tome 21 (1977) no. 3, pp. 341-354
Citer cet article
A. I. Stepanets. Approximation by Riesz sums of periodic functions of Hölder classes. Matematičeskie zametki, Tome 21 (1977) no. 3, pp. 341-354. http://geodesic.mathdoc.fr/item/MZM_1977_21_3_a6/
@article{MZM_1977_21_3_a6,
author = {A. I. Stepanets},
title = {Approximation by {Riesz} sums of periodic functions of {H\"older} classes},
journal = {Matemati\v{c}eskie zametki},
pages = {341--354},
year = {1977},
volume = {21},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1977_21_3_a6/}
}
TY - JOUR
AU - A. I. Stepanets
TI - Approximation by Riesz sums of periodic functions of Hölder classes
JO - Matematičeskie zametki
PY - 1977
SP - 341
EP - 354
VL - 21
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1977_21_3_a6/
LA - ru
ID - MZM_1977_21_3_a6
ER -
%0 Journal Article
%A A. I. Stepanets
%T Approximation by Riesz sums of periodic functions of Hölder classes
%J Matematičeskie zametki
%D 1977
%P 341-354
%V 21
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1977_21_3_a6/
%G ru
%F MZM_1977_21_3_a6
We have found asymptotic equalities for the least upper bounds of the deviations of Riesz sums on the Hölder classes $W^rH_\omega$, $r$ is a nonnegative integer, $\omega(t)$ is an arbitrary convex modulus of continuity.